Time-quantitative density of non-integrable systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866914669025820672 |
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| author | Beck, J. Chen, W. W. L. |
| author_facet | Beck, J. Chen, W. W. L. |
| contents | We introduce a new method to establish time-quantitative density in flat dynamical systems. First we give a shorter and different proof of our earlier result that a half-infinite geodesic on an arbitrary finite polysquare surface P is superdense on P if the slope of the geodesic is a badly approximable number. We then adapt our method to study time-quantitative density of half-infinite geodesics on algebraic polyrectangle surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_09930 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Time-quantitative density of non-integrable systems Beck, J. Chen, W. W. L. Dynamical Systems Number Theory 11K38, 37E35 We introduce a new method to establish time-quantitative density in flat dynamical systems. First we give a shorter and different proof of our earlier result that a half-infinite geodesic on an arbitrary finite polysquare surface P is superdense on P if the slope of the geodesic is a badly approximable number. We then adapt our method to study time-quantitative density of half-infinite geodesics on algebraic polyrectangle surfaces. |
| title | Time-quantitative density of non-integrable systems |
| topic | Dynamical Systems Number Theory 11K38, 37E35 |
| url | https://arxiv.org/abs/2104.09930 |